Abstract
A Hybrid Solutions Method for Solving One Dimensional Parabolic Partial Differential Equations
Highlights
Sunday Babuba*A new continuous numerical method based on polynomials approximation is here proposed for solving the equation arising from heat transfer along a copper rod and a hollow tube subject to initial and boundary conditions
The development of continuous numerical techniques for solving heat conduction equation in science and engineering subject to initial and boundary conditions is a subject of considerable interest
We develop a new numerical method which is based on interpolation and collocation at some point along the coordinates [1,2,3]
Summary
A new continuous numerical method based on polynomials approximation is here proposed for solving the equation arising from heat transfer along a copper rod and a hollow tube subject to initial and boundary conditions. The method results from discretization of the heat equation which leads to the production of a system of algebraic equations. By solving the system of algebraic equations we obtain the problem approximate solutions
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